429812768 has 192 divisors, whose sum is σ = 1156571136. Its totient is φ = 152064000.

The previous prime is 429812731. The next prime is 429812797. The reversal of 429812768 is 867218924.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1298363 + ... + 1298693.

It is an arithmetic number, because the mean of its divisors is an integer number (6023808).

Almost surely, 2^429812768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429812768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578285568).

429812768 is an abundant number, since it is smaller than the sum of its proper divisors (726758368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429812768 is a wasteful number, since it uses less digits than its factorization.

429812768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 429812768 is about 20731.9262973801. The cubic root of 429812768 is about 754.6746653222.

The spelling of 429812768 in words is "four hundred twenty-nine million, eight hundred twelve thousand, seven hundred sixty-eight".